"wy 091/ 5 20 F-3. Find the number ...
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"wy 091/ 5 20 F-3. Find the number of positive integers not satisfying the inequality log (4x - 2.2 + 17) > 5. F-4. Solve the following inequalities :

JEE/Engineering Exams
Maths
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Find the number of positive integers not satisfying the inequality [ begin{array}{r} log _{2}left(4^{x}-2.2^{x}+17right)>5 4^{x}-2 cdot 2^{x}+17=left(2^{x}right)^{2}-2 cdot 2^{x}+1+16 =left(2^{x}-1right)^{2}+16>0 end{array} ] the condition ( 4^{x}-22^{x}+17>0 ) is satufret for any real ( x ) ( log _{2}left[left(2^{x}-1right)^{2}+16right]>5 Rightarrowleft(2^{x}-1right)^{2}+16>2^{5} ) [ begin{array}{l} left(2^{x}right)^{2}+16>32 left(2^{x}-1right)^{2}>16 end{array} ]
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